λ
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Atlas › Integer Profiles › Node 36,364,212

36,364,212

22 × 32 × 41 × 71 × 347
Abundant Even Composite

36,364,212 factors as 2^2 × 3^2 × 41 × 71 × 347. Its 72 positive divisors give a proper-divisor sum of 59,399,820, so this integer is abundant. The Collatz stopping time is 227 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 41 × 71 × 347
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 95,764,032
Proper Divisor Sum 59,399,820
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #36364199 ← → #36364213

Radix Representation

Decimal 36364212
Binary 10001010101101111110110100 (26 bits)
Octal 0o212557664
Hexadecimal 0x22ADFB4

Divisor Catalog (60 of 72)

1 2 3 4 6 9 12 18 36 41 71 82 123 142 164 213 246 284 347 369 426 492 639 694 738 852 1,041 1,278 1,388 1,476 2,082 2,556 2,911 3,123 4,164 5,822 6,246 8,733 11,644 12,492 14,227 17,466 24,637 26,199 28,454 34,932 42,681 49,274 52,398 56,908 73,911 85,362 98,548 104,796 128,043 147,822 170,724 221,733 256,086 295,644

Collatz Trajectory (227 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

36,364,212 18,182,106 9,091,053 27,273,160 13,636,580 6,818,290 3,409,145 10,227,436 5,113,718 2,556,859 7,670,578 3,835,289 11,505,868 5,752,934 2,876,467 8,629,402 4,314,701 12,944,104 6,472,052 3,236,026 1,618,013 4,854,040 2,427,020 1,213,510 606,755 1,820,266 910,133 2,730,400 1,365,200 682,600 341,300 170,650 85,325 255,976 127,988 63,994 31,997 95,992 47,996 23,998 11,999 35,998 17,999 53,998 26,999 80,998 40,499 121,498 60,749 182,248 91,124 45,562 22,781 68,344 34,172 17,086 8,543 25,630 12,815 38,446

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